How to Find GCF of 966/454, 8917/784?

GCF of 966/454, 8917/784

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 966/454, 8917/784 i.e 1/177968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 966/454, 8917/784.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 966/454,8917/784?

Given fractions are 966/454,8917/784

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 966/454,8917/784, numerators are 966,8917

Denominators are 454,784

The GCF of 966,8917 is 1 .

LCM of 454,784 is 177968.

The greatest common factor of 966/454,8917/784 = [GCF of 966,8917]/[LCM of 454,784]= 1/177968

Therefore, the GCF of 966/454,8917/784 is 1/177968.

Greatest Common Factor of 966,8917

To find the highest common factor of 966,8917, we have to find the factors of both numbers and list the highest common factor.

The factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

The factors of 8917 are 1, 37, 241, 8917

The HCF of 966,8917 is 1.

Lets's calculate GCF of 966,8917

Greatest Common Factor (GCF) of 966,8917 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 966,8917 By Matching Biggest Common Factor Method

Now, list down the factors of 966

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Now, list down the factors of 8917

1,37,241,8917

Greatest Common Factor

We found the factors 966,8917 . The biggest common factor number is the GCF number.
So the greatest common factor 966,8917 is 1.

Lets's calculate LCM of 454,784

Lowest Common Multiple of 454,784 using Common Division

2	454, 784
	227, 392

∴ So the LCM of the given numbers is 2 x 227 x 392 = 177968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177968

Therefore, the GCF of Fractions 966/454,8917/784 is 1/177968

Least Common Multiple of 454,784 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 454,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,784) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(454,784) x common factors =2 x 1 = 2

LCM(454,784) = ( 454 × 784 ) / 2

LCM(454,784) = 355936 / 2

LCM(454,784) = 177968

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FAQs on GCF of Fractions of 966/454, 8917/784

1. What is the HCF of 966,8917?

The HCF of 966,8917 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 966/454, 8917/784?

Answer: GCF of Numerators as per given numbers 966/454, 8917/784 is

GCF of Numerators i.e. for 966,8917 is 1

LCM of denominators i.e. for 454,784 is 177968.

Thus, GCF of Fractions is 1/177968.Finally, GCF of Fractions for 966/454, 8917/784 is 1/177968.